Question

A department store sold 63 shirts one day. All short-sleeved shirts cost $15.00 each and all long-sleeved shirts cost $22.00 each. Total receipts for the day were $1,134.00 . How many of each kind of shirt were sold?
number of short-sleeved shirts --- x
number of long-sleeved shirts --- 63-x

15x +22(63-x) = 1134
15x + 1386 - 22x = 1134
-7x = -252
x = 36

so 36 short-sleeved and 27 longsleeved shirts
Short shirt x
Long shirt y

x + y = 63
15x + 22y = 1134

substitute x = 63-y

15(63-y) + 22y = 1134
945 -15y + 22y = 1134
7y = 189

y =27
x = 36

short-sleeved shirts : 27
Long-sleeved shirts: 36

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